Operator equations and inner inverses of elementary operators

2019 ◽  
pp. 1-8
Author(s):  
F. Lombarkia ◽  
A. Boussaid
Keyword(s):  
Operator Equations ◽  
Elementary Operators

A System of Operator Equations

1987 ◽  
Vol 30 (2) ◽  
pp. 200-209 ◽  
Author(s):  
Bojan Magajna
Keyword(s):  
Hilbert Space ◽  
Linear Combination ◽  
Maximal Ideal ◽  
Separable Hilbert Space ◽  
Bounded Operators ◽  
Operator Equations ◽  
Elementary Operators ◽  
System Of Operator Equations ◽  
Unique Maximal Ideal

AbstractLet be a separable Hilbert space, the algebra of all bounded operators on and Ai, Bi, ∊ , i = 1,. . . , r. It is shown that if no nontrivial linear combination of the operators Ai, is compact, then there exist X, Y ∊ such that X Ai, Y = Bi, for all i. A related (but much milder) result is discussed in other algebras with the unique maximal ideal and an application to elementary operators is given.

On Homogenization of Controlled Objects Described by Operator Equations of Hammerstein Type

2003 ◽  
Vol 35 (11) ◽  
pp. 19-27
Author(s):  
Victor N. Mizernyi ◽  
Peter I. Kogut ◽  
Tatyana N. Rudyanova
Keyword(s):  
Operator Equations
Sign in / Sign up

Export Citation Format

Share Document